Factor x³ + 3x² + 2x + 6
Worked out line by line the way a teacher would write it.
Answer
| Factored form | (x + 3)(x² + 2) |
Step-by-step solution
3 steps-
1 Givenx^{3} + 3 x^{2} + 2 x + 6
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2 Group the terms in pairs and factor each pair
With four terms, factor the first pair and the second pair separately. If the same bracket appears in both, it factors out.
x^{2} \left(x + 3\right) + 2 \left(x + 3\right) -
3 Factor out the common bracket
Both pieces contain the same bracket, so it factors out like any common factor: A·B + C·B = (A + C)·B.
\left(x + 3\right) \left(x^{2} + 2\right)
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